Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1969 22(2):221-233; doi:10.1093/qjmam/22.2.221
© 1969 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by DEBNATH, L.
Right arrow Articles by ROSENBLAT, S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

THE ULTIMATE APPROACH TO THE STEADY STATE IN THE GENERATION OF WAVES ON A RUNNING STREAM

L. DEBNATH {dagger} and S. ROSENBLAT

( Department of Mathematics, Imperial College London )

The initial-value problem is solved for the generation of two-dimensional waves by an oscillatory pressure acting at the surface of a running stream of finite depth. In place of the usual contour-integration techniques, the problem is treated with the aid of generalised functions. It is shown that in the ultimate steady state either two or four waves may exist, depending on the relative values of the speed of the fluid, its depth and the frequency of the applied pressure. At the values separating these two possible states the solution is found to be singular.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.